A solution of Fe2(SO4)3 is electrolyzed for ‘x’ min with a current of 1.5 A to deposit 0.3482 g of Fe. The value of x is _______. [nearest integer]
Given : 1 F = 96500 C mol–1.
Atomic mass of Fe = 56 g mol–1
Fe3+ + 3e– → Fe
Moles of Fe deposited
\(=\frac{0.3482}{56}=6.2×10^{-3}\)
For 1 mole Fe, charge required is 3 F
For 6.2 × 10–3 mole Fe, charge required is
3 × 6.2 × 10–3 F
Since, charge required = 18.6 × 10–3 × 96500 C
= 1794.9 C
And,
1.5 × t = 1794.9
\(t=\frac{1794.9}{1.5×60}\) min
t ≃20 min
\(t_{100\%}\) is the time required for 100% completion of a reaction, while \(t_{1/2}\) is the time required for 50% completion of the reaction. Which of the following correctly represents the relation between \(t_{100\%}\) and \(t_{1/2}\) for zero order and first order reactions respectively
One mole of an alkane (\(x\)) requires 8 mole oxygen for complete combustion. Sum of number of carbon and hydrogen atoms in the alkane (\(x\)) is ______.
For reaction \(A \rightarrow P\), rate constant \(k = 1.5 \times 10^3\ s^{-1}\) at \(27^\circ C\). If activation energy for the above reaction is \(60\ kJ\ mol^{-1}\), then the temperature (in \(^{\circ}C\)) at which rate constant \(k = 4.5 \times 10^3\ s^{-1}\) is ______. (Nearest integer) \[ \text{Given: } \log 2 = 0.30,\ \log 3 = 0.48,\ R = 8.3\ J\ K^{-1}\ mol^{-1},\ \ln 10 = 2.3 \]
At the transition temperature \(T\), \(A \rightleftharpoons B\) and \(\Delta G^\circ = 105 - 35\log T\), where \(A\) and \(B\) are two states of substance \(X\). The transition temperature in \(^{\circ}C\) when pressure is 1 atm is ______.
Identify compounds A and E in the following reaction sequence.



| LIST I | LIST II | ||
| A | Cobalt catalyst | 1 | (H2+Cl2) production |
| B | Syngas | 2 | Water gas production |
| C | Nickel catalyst | 3 | Coal gasification |
| D | Brine solution | 4 | Methanol production |
| LIST I | LIST II | ||
| A | Cobalt catalyst | I | \((H_2+Cl_2)\) production |
| B | Syngas | II | Water gas production |
| C | Nickel catalyst | III | Coal gasification |
| D | Brine solution | IV | Methanol production |
Refer the figure below. \( \mu_1 \) and \( \mu_2 \) are refractive indices of air and lens material respectively. The height of image will be _____ cm.

In single slit diffraction pattern, the wavelength of light used is \(628\) nm and slit width is \(0.2\) mm. The angular width of central maximum is \(\alpha \times 10^{-2}\) degrees. The value of \(\alpha\) is ____.
\(t_{100\%}\) is the time required for 100% completion of a reaction, while \(t_{1/2}\) is the time required for 50% completion of the reaction. Which of the following correctly represents the relation between \(t_{100\%}\) and \(t_{1/2}\) for zero order and first order reactions respectively